y = 35 because the vertical angle for y is 35 (view attached image below). Also, if we add all the angles together in the image, it comes out to a sum of 360 degrees, which is a full circle.

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3 years ago

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In a class of 80 students ,53 study art ,60 study biology ,36 study art and biology ,34 study art and chemistry ,6 study biology

d1i1m1o1n [39]

Answer:

The missing part is the intersection of all 3, label it x

Now look at the intersection of A and C, it must be 34.

But you already have x accounted for in the intersection of all 3.

So label the part in A and C, but not B as 34-x

36 study A and B, so the part of A and B, but not C is

36-x

Given that 53 study Art, in the A only part we can put

53-(36-x) - (34-x) -x = x - 17

6 study B only, put that in.

So the missing part of B is 60 - 6 - (36-x) - x

= 18

18 study B , but not C, so they could be in A

label the part of A and B, but not C as 18

BUT, we already know that A and B, not C, is 36-x

So 36-x = 18

X=18

I think we are done

Finish circle A, with A only as x-17 or

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3 years ago